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Finding the Third Proportional to 111,402 and 240,370

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Solution

The third proportional to 111,402 and 240,370 is: 518,641.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,402 : 240,370 = 240,370 : x
  2. Step 2: Convert to fraction form
    111,402/240,370 = 240,370/x
  3. Step 3: Cross multiply
    111,402x = 240,370 × 240,370
  4. Step 4: Simplify right side
    111,402x = 57,777,736,900
  5. Step 5: Solve for x
    x = 57,777,736,900/111,402
  6. Step 6: Final answer
    x = 518,641.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.